11175222240 has 1152 divisors, whose sum is σ = 50965770240. Its totient is φ = 2264371200.

The previous prime is 11175222217. The next prime is 11175222251. The reversal of 11175222240 is 4222257111.

It is a happy number.

11175222240 is a `hidden beast` number, since 1 + 117 + 522 + 2 + 24 + 0 = 666.

It is a super-2 number, since 2×11175222240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85306975 + ... + 85307105.

It is an arithmetic number, because the mean of its divisors is an integer number (44241120).

Almost surely, 2^11175222240 is an apocalyptic number.

11175222240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11175222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25482885120).

11175222240 is an abundant number, since it is smaller than the sum of its proper divisors (39790548000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11175222240 is a wasteful number, since it uses less digits than its factorization.

11175222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 11175222240 its reverse (4222257111), we get a palindrome (15397479351).

The spelling of 11175222240 in words is "eleven billion, one hundred seventy-five million, two hundred twenty-two thousand, two hundred forty".